diff --git a/11-kernel-crosscompiler/README.md b/11-kernel-crosscompiler/README.md
index 6d489946..da87fa43 100644
--- a/11-kernel-crosscompiler/README.md
+++ b/11-kernel-crosscompiler/README.md
@@ -74,3 +74,59 @@ collisions with your system's compiler and binutils.
 
 You may want to add the `$PATH` to your `.bashrc`. From now on, on this tutorial, we will explicitly use the prefixes when using
 the cross-compiled gcc.
+
+
+how to compile the project with **GCC V 10.2.0** in x64 environments
+---
+
+add CFLAGS & LDFLAGS in Makefile
+```
+CFLAGS =  -ffreestanding -fno-stack-protector -z execstack -m32 -no-pie -fno-pic 
+LDFLAGS = -melf_i386
+```
+
+
+the Makefile in 14-17 
+```
+C_SOURCES = $(wildcard kernel/*.c drivers/*.c)
+HEADERS = $(wildcard kernel/*.h drivers/*.h)
+# Nice syntax for file extension replacement
+OBJ = ${C_SOURCES:.c=.o}
+
+
+CC = gcc
+GDB = gdb
+
+CFLAGS =  -ffreestanding -fno-stack-protector -z execstack -m32 -no-pie -fno-pic 
+LDFLAGS=  -melf_i386
+
+os-image.bin: boot/bootsect.bin kernel.bin
+	cat $^ > os-image.bin
+
+kernel.bin: boot/kernel_entry.o ${OBJ}
+	ld ${LDFLAGS} -o $@ -Ttext 0x1000 $^ --oformat binary
+
+kernel.elf: boot/kernel_entry.o ${OBJ}
+	ld ${LDFLAGS} -o $@ -Ttext 0x1000 $^
+
+run: os-image.bin
+	qemu-system-x86_64  -fda os-image.bin
+
+debug: os-image.bin kernel.elf
+	qemu-system-x86_64 -s -S -fda os-image.bin & 
+	${GDB} -ex "target remote localhost:1234" -ex "symbol-file kernel.elf" -ex "break *0x7c00" -ex "break main" -ex "c" -ex "c" 
+
+%.o: %.asm
+	nasm $< -f elf -o $@
+
+%.o: %.c ${HEADERS}
+	${CC} ${CFLAGS} -c $< -o $@
+
+%.bin: %.asm
+	nasm $< -f bin -o $@
+
+clean:
+	rm -rf *.bin *.dis *.o os-image.bin *.elf
+	rm -rf kernel/*.o boot/*.bin drivers/*.o boot/*.o
+
+```