Question

1. Translate the decimal numbers below to binary numbers. The first two are already completed as examples.

Decimal number: 66

Place	128	64	32	16	8	4	2	1
Digits

Show the calculation:

Decimal number: 105

Place	128	64	32	16	8	4	2	1
Digits

Show the calculation:

Decimal number: 111

Place	128	64	32	16	8	4	2	1
Digits

Show the calculation:

Determine the binary code for the decimal integer numbers on your worksheet.

Some help in finding the right pattern of 0's and 1's:

• Start with the biggest decimal equivalent that is smaller than or equal to the number you are converting, and enter a 1. For the first number you're converting (66), 128 is too big and should stay a 0, but 64 is smaller than 66, so it should get a 1.
• Work down the list of decimal equivalents, and if adding the decimal equivalent to 64 either equals or is still less than 66 then put a 1 underneath it.
• Once your decimal number is correct, stop and record the sequence of 0's and 1's on your worksheet as the binary number - this is the binary equivalent to your decimal number.

Answer 1

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