1. Number Systems Write the decimal value of the binary number 1100112.
COURSE 3 LESSON 7-6
Write the decimal value of the binary number
Write the binary number in expanded form.
= (1 • 25) + (1 • 24) + (0 • 23) + (0 • 22) + (1 • 21) + (1 • 20) =
Simplify within the parentheses.
= 51 Add.
The decimal value of is 51.
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2. Number Systems Write the decimal number 34 as a binary number.
COURSE 3 LESSON 7-6
Write the decimal number 34 as a binary number.
Begin by writing 34 as the sum of powers of 2.
34 = =
Use each power of 2 either once or not at all.
= (1 • 25) + (0 • 24) + (0 • 23) + (0 • 22) + (1 • 21) + (0 • 20)
Use 1 if the power is used and 0 if the power is not used. =
Use the digits 1 and 0 to write the binary number.
The decimal 34 equals the binary number
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3. Number Systems Write the decimal value of each binary number.
COURSE 3 LESSON 7-6
Write the decimal value of each binary number.
Write each decimal number as a binary number. 70
221
111012
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