The learner will convert whole decimal numbers in a range from 1 to 128 to binary numbers.

Convert the decimal number 79 to an 8-bit binary number.

0100 1111

79=64+8+4+2+1

Convert the decimal number 79 to an 8-bit binary number.

0100 1111

79=64+8+4+2+1

Convert the decimal number 44 to an 8-bit binary number.

0010 1100

44=32+8+4

Convert the decimal number 44 to an 8-bit binary number.

0010 1100

44=32+8+4

Convert the decimal number 84 to an 8-bit binary number.

0101 0100

84=64+16=4

Convert the decimal number 84 to an 8-bit binary number.

0101 0100

84=64+16=4

Convert the decimal number 52 to an 8-bit binary number.

0011 0100

52=32+16+4

Convert the decimal number 52 to an 8-bit binary number.

0011 0100

52=32+16+4

Convert the decimal number 4 to a 4-bit binary number.

0100

so 4 in binary is 100.

Convert the decimal number 4 to a 4-bit binary number.

0100

so 4 in binary is 100.

Convert the decimal number 105 to an 8-bit binary number.

0110 1001

105=64+32+8+1

Convert the decimal number 105 to an 8-bit binary number.

0110 1001

105=64+32+8+1

Convert the decimal number 63 to an 8-bit binary number.

0011 1111

63=32+16+8+4+2+1

OR

63 is 1 less than 64, so its representation is 1 less than 0100 0000, meaning it is 0011 1111

Convert the decimal number 63 to an 8-bit binary number.

0011 1111

63=32+16+8+4+2+1

OR

63 is 1 less than 64, so its representation is 1 less than 0100 0000, meaning it is 0011 1111

Convert the decimal number 38 to an 8-bit binary number.

0010 0110

38=32+4+2

Convert the decimal number 38 to an 8-bit binary number.

0010 0110

38=32+4+2

Convert the decimal number 5 to a 4-bit binary number.

0101

5=4+1

Convert the decimal number 5 to a 4-bit binary number.

0101

5=4+1

Convert the decimal number 116 to an 8-bit binary number.

0111 0100

116=64+32+16+4

Convert the decimal number 116 to an 8-bit binary number.

0111 0100

116=64+32+16+4

Binary Numbers: From Decimal Numbers

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