The learner will convert unsigned 8-bit binary numbers to decimal numbers.

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0111 0001 to a decimal number.

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 0111 0001 to a decimal number.

Correct Answer

113

Explanation:

$0111\ 0001 = 0 \times 128 + 1 \times 64 + 1 \times 32 + 1 \times 16 + 0 \times 8 + 0 \times 4 + 0 \times 2 + 1 \times 1 = 113$

$0111\ 0001 = 64 + 32 + 16 + 1 = 113$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 0111 0001 to a decimal number.

Your Answer

Correct Answer

113

Explanation:

$0111\ 0001 = 0 \times 128 + 1 \times 64 + 1 \times 32 + 1 \times 16 + 0 \times 8 + 0 \times 4 + 0 \times 2 + 1 \times 1 = 113$

$0111\ 0001 = 64 + 32 + 16 + 1 = 113$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0010 0111 to a decimal number.

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 0010 0111 to a decimal number.

Correct Answer

39

Explanation:

$0010\ 0111 = 0 \times 128 + 0 \times 64 + 1 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 + 1 \times 1 = 39$

$0010\ 0111 = 32 + 4 + 2 + 1=39$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 0010 0111 to a decimal number.

Your Answer

Correct Answer

39

Explanation:

$0010\ 0111 = 0 \times 128 + 0 \times 64 + 1 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 + 1 \times 1 = 39$

$0010\ 0111 = 32 + 4 + 2 + 1=39$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 1111 1111 to a decimal number.

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 1111 1111 to a decimal number.

Correct Answer

255

Explanation:

$1111\ 1111 = 1 \times 128 + 1 \times 64 + 1 \times 32 + 1 \times 16 + 1 \times 8 + 1 \times 4 + 1 \times 2 + 1 \times 1 = 255$

This number is one less than 1 0000 0000 which is 256, so it must be 255.

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 1111 1111 to a decimal number.

Your Answer

Correct Answer

255

Explanation:

$1111\ 1111 = 1 \times 128 + 1 \times 64 + 1 \times 32 + 1 \times 16 + 1 \times 8 + 1 \times 4 + 1 \times 2 + 1 \times 1 = 255$

This number is one less than 1 0000 0000 which is 256, so it must be 255.

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0100 1100 to a decimal number.

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 0100 1100 to a decimal number.

Correct Answer

76

Explanation:

$0100\ 1100 = 0 \times 128 + 1 \times 64 + 0 \times 32 + 0 \times 16 + 1 \times 8 + 1 \times 4 + 0 \times 2 + 0 \times 1 = 76$

$0100\ 1100 = 64 + 8 + 4 = 76$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 0100 1100 to a decimal number.

Your Answer

Correct Answer

76

Explanation:

$0100\ 1100 = 0 \times 128 + 1 \times 64 + 0 \times 32 + 0 \times 16 + 1 \times 8 + 1 \times 4 + 0 \times 2 + 0 \times 1 = 76$

$0100\ 1100 = 64 + 8 + 4 = 76$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 1100 0010 to a decimal number.

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 1100 0010 to a decimal number.

Correct Answer

194

Explanation:

$1100\ 0010 = 1 \times 128 + 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 1 \times 2 + 0 \times 1 = 194$

$1100\ 0010 = 128 + 64 + 2 = 194$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 1100 0010 to a decimal number.

Your Answer

Correct Answer

194

Explanation:

$1100\ 0010 = 1 \times 128 + 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 1 \times 2 + 0 \times 1 = 194$

$1100\ 0010 = 128 + 64 + 2 = 194$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 1000 0001 to a decimal number.

-127
65
129
257

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 1000 0001 to a decimal number.

Correct Answer

129

Explanation:

$1000\ 0001 = 1 \times 128 + 0 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 0 \times 2 + 1 \times 1 = 129$

This number is 1 more than 1000 0000. Since 1000 000 is 128, this number is 129.

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 1000 0001 to a decimal number.

Your Answer

Correct Answer

129

Explanation:

$1000\ 0001 = 1 \times 128 + 0 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 0 \times 2 + 1 \times 1 = 129$

This number is 1 more than 1000 0000. Since 1000 000 is 128, this number is 129.

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0000 0011 to a decimal number.

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 0000 0011 to a decimal number.

Correct Answer

3

Explanation:

$0000\ 0011 = 0 \times 128 + 0 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 1 \times 2 + 1 \times 1 = 3$

$0000\ 0011 = 2 + 1 = 3$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 0000 0011 to a decimal number.

Your Answer

Correct Answer

3

Explanation:

$0000\ 0011 = 0 \times 128 + 0 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 1 \times 2 + 1 \times 1 = 3$

$0000\ 0011 = 2 + 1 = 3$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0000 0000 to a decimal number.

-1
0
127
255

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 0000 0000 to a decimal number.

Correct Answer

0

Explanation:

$0000\ 0000 = 0 \times 128 + 0 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 0 \times 2 + 0 \times 1 = 0$

Since positional systems work on the place values, since this number has 0 in each place, it must be 0.

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 0000 0000 to a decimal number.

Your Answer

Correct Answer

0

Explanation:

$0000\ 0000 = 0 \times 128 + 0 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 0 \times 4 + 0 \times 2 + 0 \times 1 = 0$

Since positional systems work on the place values, since this number has 0 in each place, it must be 0.

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0100 0110 to a decimal number.

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 0100 0110 to a decimal number.

Correct Answer

70

Explanation:

$0100\ 0110 = 0 \times 128 + 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 + 0 \times 1 = 70$

$0100\ 0110 = 64 + 4 + 2 = 70$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 0100 0110 to a decimal number.

Your Answer

Correct Answer

70

Explanation:

$0100\ 0110 = 0 \times 128 + 1 \times 64 + 0 \times 32 + 0 \times 16 + 0 \times 8 + 1 \times 4 + 1 \times 2 + 0 \times 1 = 70$

$0100\ 0110 = 64 + 4 + 2 = 70$

Next Question

Question 1 of 10

Binary Numbers: To Decimal Numbers

Convert the unsigned binary number 0111 1111 to a decimal number.

Question 1 of 10

Binary Numbers: To Decimal Numbers

Correct!

Convert the unsigned binary number 0111 1111 to a decimal number.

Correct Answer

127

Explanation:

$0111\ 1111 = 0 \times 128 + 1 \times 64 + 1 \times 32 + 1 \times 16 + 1 \times 8 + 1 \times 4 + 1 \times 2 + 1 \times 1 = 127$

This number is 1 less than 1000 0000. Since 1000 0000 is 128, this number must be 127.

Finish

Question 1 of 10

Binary Numbers: To Decimal Numbers

Incorrect

Convert the unsigned binary number 0111 1111 to a decimal number.

Your Answer

Correct Answer

127

Explanation:

$0111\ 1111 = 0 \times 128 + 1 \times 64 + 1 \times 32 + 1 \times 16 + 1 \times 8 + 1 \times 4 + 1 \times 2 + 1 \times 1 = 127$

This number is 1 less than 1000 0000. Since 1000 0000 is 128, this number must be 127.

Finish

Question 1 of 10

Binary Numbers: To Decimal Numbers

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Question 1 of 10

Author

Tim Zick

Published: 9/25/2015

Last Updated: 9/25/2015

Tags

binary
convert
decimal
programming

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Binary Numbers: To Decimal Numbers by Fox Valley Technical College is licensed under a Creative Commons Attribution 3.0 Unported License.