Number Systems Write the decimal value of the binary number

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Presentation transcript:

Number Systems Write the decimal value of the binary number 1100112. COURSE 3 LESSON 7-6 Write the decimal value of the binary number 1100112. Write the binary number in expanded form. 1100112 = (1 • 25) + (1 • 24) + (0 • 23) + (0 • 22) + (1 • 21) + (1 • 20) = 32 + 16 + 0 + 0 + 2 + 1 Simplify within the parentheses. = 51 Add. The decimal value of 1100112 is 51. 7-6

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 = 32 + 2 = 25 + 21 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. = 1000102 Use the digits 1 and 0 to write the binary number. The decimal 34 equals the binary number 1000102. 7-6

Number Systems Write the decimal value of each binary number. COURSE 3 LESSON 7-6 Write the decimal value of each binary number. 1. 10001102 2. 110111012 Write each decimal number as a binary number. 3. 54 2. 29 70 221 1101102 111012 7-6