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a)(345)8 = (229)10
Step by step solution
Step 1: Write down the octal number:
345
Step 2: Multiply each digit of the octal number by the corresponding power of eight:
3x82 + 4x81 + 5x80
Step 3: Solve the powers:
3x64 + 4x8 + 5x1
Step 4: Add up the numbers written above:
192 + 32 + 5 = 229
So, 229 is the decimal equivalent of the octal number 345.
b)(317)8 = (207)10
Step by step solution
Step 1: Write down the octal number:
317
Step 2: Multiply each digit of the octal number by the corresponding power of eight:
3x82 + 1x81 + 7x80
Step 3: Solve the powers:
3x64 + 1x8 + 7x1
Step 4: Add up the numbers written above:
192 + 8 + 7 = 207
So, 207 is the decimal equivalent of the octal number 317.
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